Question

Fully describe the plane defined by the equation y - z = 0. Be clear and...

Fully describe the plane defined by the equation y - z = 0. Be clear and organized with generalizations.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

First think just of the YZ plane. Standing on it, y = z is a straight line passing through origin, equally inclined to both Y and Z axes.

When we extend this line to space, y = z becomes a plane which is an extension of the direction defined by the line, i.e. the plane is still equally inclined to both the Y and Z axes, just like the line was.

The parameters of interest that can be described about the plane are

Geogebra gives following sketch of the plane

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(To find the trace using substitution) Substitute the equation for each coordinate plane (z=0, x=0, or...
(To find the trace using substitution) Substitute the equation for each coordinate plane (z=0, x=0, or y=0 one at at time) into the quadric surface equation. Simplify the equation and write it in standard form. z=4x^2+3y^2 z=4x^2−y^2 4x^2+y^2−z^2=0
Find the equation of the tangent plane to the surface determined by x2y4+z−35=0 at x=3, y=4.
Find the equation of the tangent plane to the surface determined by x2y4+z−35=0 at x=3, y=4.
(To find the trace using substitution) Substitute the equation for each coordinate plane (z=0, x=0, or...
(To find the trace using substitution) Substitute the equation for each coordinate plane (z=0, x=0, or y=0 one at at time) into the quadric surface equation. Simplify the equation and write it in standard form. x^2/4+y^2/9−z^2/12=1 x^2/4−y^2/9−z^2/12=1 x^2/4+y^2/9+z^2/12=1
Find the equation of the tangent plane (in terms of x, y and z) to the...
Find the equation of the tangent plane (in terms of x, y and z) to the surface given by x = u, y = v and z = uv at the point (3, 2, 6).
An implicitly defined function of x, y and z is given along with a point P...
An implicitly defined function of x, y and z is given along with a point P that lies on the surface: sin(xy) + cos(yz) = 0, at P = (2, π/12, 4) Use the gradient ∇F to: (a) find the equation of the normal line to the surface at P. (b) find the equation of the plane tangent to the surface at P.
Find an equation of the plane. The plane through the point (1, 0, 3) and perpendicular...
Find an equation of the plane. The plane through the point (1, 0, 3) and perpendicular to the line x = 6t, y = 6 − t, z = 5 + 3t
Find an equation of the normal plane to x = t, y = t2 , z...
Find an equation of the normal plane to x = t, y = t2 , z = t3 at the point (2, 4, 8)
The plane surface at y=0 (the x-z plane) has a uniform surface current in the z...
The plane surface at y=0 (the x-z plane) has a uniform surface current in the z (k) direction. Think of a thin sheet of water flowing in the z direction along some a surface at y=0. Answer the following T/F questions. Use ideas of symmetry and recall that the magnetic field at a point is perpendicular to the current causing it and perpendicular to the line from the current element causing the field to the point where it is evaluated....
Suppose z is implicitly implicitly defined by the equation: F(x, y, z) = 4x^ −1 −...
Suppose z is implicitly implicitly defined by the equation: F(x, y, z) = 4x^ −1 − 3x 3 yz + e^ z/ (x − 2) = c where c is a constant. Compute the first and second order partial derivatives of z with respect to x and y
Find the equation of the tangent plane to the surface given by z = ln (2tan...
Find the equation of the tangent plane to the surface given by z = ln (2tan x - tan y) at (pi/4, pi/4, 0).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT